Finding the Fourth Proportional to 2,464.08, 3,695.31 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.08 : 3,695.31 = 820.14 : x
2. Step 2: Convert to fraction form
   2,464.08/3,695.31 = 820.14/x
3. Step 3: Cross multiply
   2,464.08x = 3,695.31 × 820.14
4. Step 4: Simplify right side
   2,464.08x = 3,030,671.54
5. Step 5: Solve for x
   x = 3,030,671.54/2,464.08
6. Step 6: Final answer
   x = 1,229.94